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Finding the Fourth Proportional to 698.51, 1,042.48 and 682.13

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Solution

The fourth proportional to 698.51, 1,042.48 and 682.13 is: 1,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.51 : 1,042.48 = 682.13 : x
  2. Step 2: Convert to fraction form
    698.51/1,042.48 = 682.13/x
  3. Step 3: Cross multiply
    698.51x = 1,042.48 × 682.13
  4. Step 4: Simplify right side
    698.51x = 711,106.88
  5. Step 5: Solve for x
    x = 711,106.88/698.51
  6. Step 6: Final answer
    x = 1,018.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.